l2-l∞ Control of Discrete-Time State-Delay Interval Type-2 Fuzzy Systems via Dynamic Output Feedback

被引：16

作者：

Zeng, Yi ^{[1
]}

Lam, Hak-Keung ^{[1
]}

Xiao, Bo ^{[2
]}

Wu, Ligang ^{[3
]}

机构：

[1] Kings Coll London, Dept Engn, London WC2R 2LS, England

[2] Imperial Coll London, Hamlyn Ctr Robot Surg, London SW7 2AZ, England

[3] Harbin Inst Technol, Dept Control Sci & Engn, Harbin 150001, Peoples R China

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2022年 / 52卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Discrete-time system; fuzzy-model-based (FMB) system; output-feedback control; state-delay interval type-2 (IT2) fuzzy system; STABILITY ANALYSIS; MOBILE ROBOT; DESIGN; STABILIZATION;

D O I：

10.1109/TCYB.2020.3024754

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article investigates the design of the l(2) - l(infinity) dynamic output-feedback (DOF) controller for interval type-2 (IT2) T-S fuzzy systems with state delay. For nonlinear systems, the IT2 fuzzy model is an efficient modeling method which can better express uncertainties than the (type-1) fuzzy model. In addition, state delay is also a general factor that affects system performance. After analyzing the stability of the system, based on convex linearization and the projection theorem, this article proposes a delay-dependent output-feedback controller design method. The IT2 membership functions (MFs) of the fuzzy controller are chosen to be different from those of the model so as to increase the freedom of controller selection. A membership-function-dependent (MFD) method based on the staircase MFs is applied to relax the stability analysis results. Finally, a numerical simulation example is given to illustrate the effectiveness of the results.

引用

页码：4198 / 4208

页数：11

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